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Projective contact manifolds

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Inventiones mathematicae Aims and scope

Abstract.

The present work is concerned with the study of complex projective manifolds X which carry a complex contact structure. In the first part of the paper we show that if K X is not nef, then either X is Fano and b 2(X)=1, or X is of the form ℙ(T Y ), where Y is a projective manifold. In the second part of the paper we consider contact manifolds where K X is nef.

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Authors and Affiliations

  1. Lehrstuhl Mathematik VIII, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: stefan.kebekus@uni-bayreuth.de), , , , , , DE

    Stefan Kebekus

  2. Lehrstuhl Mathematik I, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: thomas.peternell@uni-bayreuth.de), , , , , , DE

    Thomas Peternell

  3. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA¶(e-mail: sommese@nd.edu), , , , , , US

    Andrew J. Sommese

  4. Instytut Matematyki UW, Banacha 2, 02-097 Warszawa, Poland¶(e-mail: jarekw@mimuw.edu.pl), , , , , , PL

    Jarosław A. Wiśniewski

Authors
  1. Stefan Kebekus
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  2. Thomas Peternell
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  3. Andrew J. Sommese
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  4. Jarosław A. Wiśniewski
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Additional information

Oblatum 15-X-1999 & 3-II-2000¶Published online: 8 May 2000

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Kebekus, S., Peternell, T., Sommese, A. et al. Projective contact manifolds. Invent. math. 142, 1–15 (2000). https://doi.org/10.1007/PL00005791

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  • DOI: https://doi.org/10.1007/PL00005791

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